SOLUTION: ln(x)-3 ln(x-1)

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Question 378583: ln(x)-3 ln(x-1)
Found 2 solutions by rapaljer, stanbon:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this problem, you need to understand the LAWS of LOGARITHMS.

First, you may write this as
log%28x%29-3%2Alog%28%28x-1%29%29
log%28x%29+-log%28%28x-1%29%29%5E3
log%28x%2F%28%28x-1%29%5E3%29%29+

For a complete explanation of LOGARITHMS, please see my own website. Click on my tutor name "Rapaljer" anywhere in algebra.com, and then click on my website that is given there. Look for the link "Basic, Intermediate, and College Algebra: One Step at a Time" and select "College Algebra", "Chapter 4". My explanations were written for students who have trouble understanding math, and according to my own students, much easier to understand than traditional textbooks.

I also have TWO complete videos from my classes before I retired in which I taught the lessons myself. The videos are FREE. Look for "Rapalje Videos in Living Color" on my Homepage.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x)-3 ln(x-1)
-------
ln(x) - ln(x-1)^3
----
= ln[x/(x-1)^3]
====================
Cheers,
Stan H.